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      Question

      Find the remainder when 345 is divided by 10.

      A 2 Correct Answer Incorrect Answer
      B 7 Correct Answer Incorrect Answer
      C 3 Correct Answer Incorrect Answer
      D 1 Correct Answer Incorrect Answer

      Solution

      ATQ, Powers of 3 mod 10 repeat every 4: 31β†’3, 32β†’9, 33β†’7, 34β†’1 (cycle length 4) 45 Γ· 4 gives remainder 1 (since 45 = 4Γ—11 + 1) So remainder = 31 mod 10 = 3

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